Equilibrium Temperature of Small Body in Shearing Gas Flow

Abstract

A convex body, with high thermal conductivity, is immersed in a nonuniformly flowing gas. The body is small compared to the mean free path, which in turn is small compared to the macroscopic length scale of the gas. The equilibrium temperature T(sub omega) of the body is calculated. For an axially symmetric body in a simply shearing gas of temperature T one obtains the equilibrium temperature T(sub omega)/T = 1 + (Beta*alpha)/8 * (P(SUB XY)/P sin(exp 2)theta sin(2phi). (this is for the case that the body is at rest with respect to the gas). Theta, phi are polar angles of the axis of the body (z is the polar axis). Alpha is a geometric shape factor of the body (which vanishes for a sphere) and beta depends on the Sonine coefficients. Beta takes the value 1 if only the lowest order Sonine term is retained. p is the pressure and p(sub xy) (the non- vanishing component of) the viscous pressure tensor.

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Document Details

Document Type
Technical Report
Publication Date
Jul 09, 2000
Accession Number
ADA400971

Entities

People

  • Lars H. Soderholm

Organizations

  • Royal Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Conductivity
  • Distribution Functions
  • Energy
  • Flow
  • Fluid Flow
  • Gas Dynamics
  • Gas Flow
  • Heat Transfer
  • Kinetic Energy
  • Knudsen Number
  • Mach Number
  • Mean Free Path
  • Mechanics
  • Particles
  • Rarefied Gas Dynamics
  • Temperature Gradients

Fields of Study

  • Physics

Readers

  • Analytical Mechanics
  • Fluid Dynamics.